Realization of posets

Ossona de Mendez, Patrice (2002) Realization of posets. [Journal (Paginated)]

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Abstract

We prove a very general representation theorem for posets and, as a corollary, deduce that any abstract simplicial complex S has a geometric realization in the Euclidean space of dimension P(S)-1, where P(S) is the Dushnik-Miller dimension of the face order of S.

Item Type:Journal (Paginated)
Classifications:Z Theory > Z.500 Representations
ID Code:674

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